The goal of this paper is to study a solution to reaction-diffusion model
consisting of a ring of spikes. This configuration is highly symmetric, which
allows for an in-depth analysis of its stability properties. For simplicity,
we will concentrate on the Schnakenberg model [1]}
although similar techniques can be extended to other models. We study the
following version of the Schnakenberg model [2]}:
\(u_{t}=\varepsilon ^{2}\Delta u-u+u^{2}v,\ \ \ \ 0=\Delta v+A-u^{2}v\frac{1}{\varepsilon ^{2}}\frac{1}{\log \varepsilon ^{-1}} \) 
